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math.AG2008
Principal gradient schemes have regular reduced closed subschemes
Joshua P. Mullet
We prove that principal gradient schemes have regular reduced subschemes. We also obtain a regularity criterion for reduced quotient rings.
math.AG2006
On toric Calabi-Yau hypersurfaces fibered by weighted K3 hypersurfaces
Joshua P. Mullet
In response to a question of Reid, we find all anti-canonical Calabi-Yau hypersurfaces in toric weighted projective bundles over the projective line where the general fiber is…